Quote#Truth
There are a number of theorems in ordinary algebra, which, though…
Quote byDuncan Farquharson Gregory · 1813–1844
Commonly attributed — not confirmed in an authoritative edition. Cited on Wikiquote to: Examples of the processes of the differential and integral calculus, (1841).
English (original)
There are a number of theorems in ordinary algebra, which, though apparently proved to be true only for symbols representing numbers, admit of a much more extended application. Such theorems depend only on the laws of combination to which the symbols are subject, and are therefore true for all symbols, whatever their nature may be, which are subject to the same laws of combination.
— Duncan Farquharson Gregory
You may also like
to furnish to the student examples by which to illustrate the processes of the Differential and Integral Calculus.
Symbolical algebra is … the science which treats of the combination of operations defined not by their nature, … but by the laws of combination to which they are subject....[W]e suppose the existence of classes of unknown operations subject …
Perhaps half the falsehood in the world is due to lack of power to detect the truth and to express it. aids both in discernment and in expression of things as they are.
Why should Honesty seek any safer retreat From the lawyers or barges, odd-rot-'em? For the lawyers are just at the top of the street, And the barges are just at the bottom!
How poor remembrances are statues, tombs, And other monuments that men erect To princes, which remain in closèd rooms Where but a few behold them, in respect Of Books, that to the universal eye Show how they lived; the other where they lie!
Our own attitude to intercourse with "spirits" must be determined not by the authority of great teachers of the 13th or any other century, but by our examination in the light of the best secular knowledge of our time of the revelation of …